A113712 Column 1 of triangle A113711, in which row n forms a polynomial in y=2*k that generates diagonal n as k=0,1,2,... for n >= 0.

1, 3, 11, 51, 291, 1955, 14947, 127203, 1188067, 12063459, 132253411, 1557096163, 19600652003, 262792435427, 3740012173027, 56328120653539, 895281283880675, 14978332471744227, 263154416079230691, 4844530248867534563

Offset

0,2

Links

Table of n, a(n) for n=0..19.

Formula

a(n) = Sum_{j=0..n} A113711(n,j)*2^j.

Prog

(PARI) getmnk(m, n, k) = {if (n<k || k<0, return (0)); if (k==0, return (1)); if (! m[n, k], if (n==k, m[n, k] = 1, m[n, k] = sum(j=0, n-k, getmnk(m, n-k, j)*(2*k)^j))); m[n, k]; }
lista(nn) = {my(m=matrix(nn, nn)); for(n=1, nn, for (k=1, n, m[n, k] = getmnk(m, n, k); ); ); vector(nn, n, m[n, 1]); } \\ Michel Marcus, Jun 03 2019

Crossrefs

Cf. A113711, A113713 (column 2), A113714 (column 3), A113715 (row sums).

Sequence in context: A020043 A357830 A184819 * A056199 A230008 A007047

Adjacent sequences: A113709 A113710 A113711 * A113713 A113714 A113715

Keyword

nonn

Author

Paul D. Hanna, Nov 08 2005

Status

approved